Periods of Tribonacci sequences and elliptic curves
We will study the periods of Tribonacci sequences associated to elliptic curves. This work is motivated by a paper of Coleman et al. who did it for classical Fibonacci sequences. We are convinced that similar results modulo a deeper work are accessible. Our aim is to explore the Tribonacci case.
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| Datum: | 2018 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Englisch |
| Veröffentlicht: |
Lugansk National Taras Shevchenko University
2018
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| Online Zugang: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/90 |
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| Назва журналу: | Algebra and Discrete Mathematics |
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Algebra and Discrete Mathematics| _version_ | 1856543044444094464 |
|---|---|
| author | AIt-Amrane, Lyes Belbachir, Hacène |
| author_facet | AIt-Amrane, Lyes Belbachir, Hacène |
| author_sort | AIt-Amrane, Lyes |
| baseUrl_str | |
| collection | OJS |
| datestamp_date | 2018-05-17T07:54:05Z |
| description | We will study the periods of Tribonacci sequences associated to elliptic curves. This work is motivated by a paper of Coleman et al. who did it for classical Fibonacci sequences. We are convinced that similar results modulo a deeper work are accessible. Our aim is to explore the Tribonacci case. |
| first_indexed | 2025-12-02T15:41:22Z |
| format | Article |
| id | admjournalluguniveduua-article-90 |
| institution | Algebra and Discrete Mathematics |
| language | English |
| last_indexed | 2025-12-02T15:41:22Z |
| publishDate | 2018 |
| publisher | Lugansk National Taras Shevchenko University |
| record_format | ojs |
| spelling | admjournalluguniveduua-article-902018-05-17T07:54:05Z Periods of Tribonacci sequences and elliptic curves AIt-Amrane, Lyes Belbachir, Hacène elliptic curves, periods of sequences, Tribonacci sequence, generalized Fibonacci sequences, prime numbers, congruences 11B50, 11G05, 11A07, 11A41, 11B37, 11B39 We will study the periods of Tribonacci sequences associated to elliptic curves. This work is motivated by a paper of Coleman et al. who did it for classical Fibonacci sequences. We are convinced that similar results modulo a deeper work are accessible. Our aim is to explore the Tribonacci case. Lugansk National Taras Shevchenko University 2018-04-27 Article Article Peer-reviewed Article application/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/view/90 Algebra and Discrete Mathematics; Vol 25, No 1 (2018) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/90/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/downloadSuppFile/90/311 Copyright (c) 2018 Algebra and Discrete Mathematics |
| spellingShingle | elliptic curves periods of sequences Tribonacci sequence generalized Fibonacci sequences prime numbers congruences 11B50 11G05 11A07 11A41 11B37 11B39 AIt-Amrane, Lyes Belbachir, Hacène Periods of Tribonacci sequences and elliptic curves |
| title | Periods of Tribonacci sequences and elliptic curves |
| title_full | Periods of Tribonacci sequences and elliptic curves |
| title_fullStr | Periods of Tribonacci sequences and elliptic curves |
| title_full_unstemmed | Periods of Tribonacci sequences and elliptic curves |
| title_short | Periods of Tribonacci sequences and elliptic curves |
| title_sort | periods of tribonacci sequences and elliptic curves |
| topic | elliptic curves periods of sequences Tribonacci sequence generalized Fibonacci sequences prime numbers congruences 11B50 11G05 11A07 11A41 11B37 11B39 |
| topic_facet | elliptic curves periods of sequences Tribonacci sequence generalized Fibonacci sequences prime numbers congruences 11B50 11G05 11A07 11A41 11B37 11B39 |
| url | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/90 |
| work_keys_str_mv | AT aitamranelyes periodsoftribonaccisequencesandellipticcurves AT belbachirhacene periodsoftribonaccisequencesandellipticcurves |